Article contents
Computing the critical dimensions of Bratteli–Vershik systems with multiple edges
Published online by Cambridge University Press: 05 April 2011
Abstract
The critical dimension is an invariant that measures the growth rate of the sums of Radon–Nikodym derivatives for non-singular dynamical systems. We show that for Bratteli–Vershik systems with multiple edges, the critical dimension can be computed by a formula analogous to the Shannon–McMillan–Breiman theorem. This extends earlier results of Dooley and Mortiss on computing the critical dimensions for product and Markov odometers on infinite product spaces.
- Type
- Research Article
- Information
- Copyright
- Copyright © Cambridge University Press 2011
References
- 3
- Cited by